Rotational Energy
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KETot =
KEi
KETot =
(1/2) mi vi2
KETot =
(1/2) mi (vi)2
KETot =
(1/2) mi (ri
)2
KETot = (1/2)
[ mi ri2]
2
KETot = (1/2) ["rotational mass"]
2
KETot = (1/2) ["moment of inertia"]
2
I =
[ mi ri2] = moment of inertia
KETot = (1/2) I
2
I =
[ mi ri2]
ri is the perpendicular distance from the axis of rotation.
Angular and Linear Connection Moment of Inertia Return to ToC, Ch10, Rotation about a Fixed Axis (c) Doug Davis, 2001; all rights reserved